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Finding the Fourth Proportional to 50,145, 75,217.50 and 13,209

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Solution

The fourth proportional to 50,145, 75,217.50 and 13,209 is: 19,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,145 : 75,217.50 = 13,209 : x
  2. Step 2: Convert to fraction form
    50,145/75,217.50 = 13,209/x
  3. Step 3: Cross multiply
    50,145x = 75,217.50 × 13,209
  4. Step 4: Simplify right side
    50,145x = 993,547,957.50
  5. Step 5: Solve for x
    x = 993,547,957.50/50,145
  6. Step 6: Final answer
    x = 19,813.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.